javascript动画缓动——tween与JQuery.easing

    
     把一些数学的算法引入到程序里,可以实现很漂亮的效果,利用JavaScript模拟一些曲线函数,实现一些动画缓动效果。

    使用flash的开发人员,做动画一般会用到tween,利用其数学原理,改版成了JavaScript tween效果,这里有一篇很好的文章介绍JavaScript tween算法的,分享一下:

缓动类型说明:(以下说明引用自cloudgamer的blog)
程序代码 程序代码
Linear:无缓动效果;
Quadratic:二次方的缓动(t^2);
Cubic:三次方的缓动(t^3);
Quartic:四次方的缓动(t^4);
Quintic:五次方的缓动(t^5);
Sinusoidal:正弦曲线的缓动(sin(t));
Exponential:指数曲线的缓动(2^t);
Circular:圆形曲线的缓动(sqrt(1-t^2));
Elastic:指数衰减的正弦曲线缓动;
Back:超过范围的三次方缓动((s+1)*t^3 - s*t^2);
Bounce:指数衰减的反弹缓动。

easeIn:从0开始加速的缓动;
easeOut:减速到0的缓动;
easeInOut:前半段从0开始加速,后半段减速到0的缓动。


JavaScript Tween源代码:
程序代码 程序代码
var Tween = {
    Linear: function(t,b,c,d){ return c*t/d + b; },
    Quad: {
        easeIn: function(t,b,c,d){
            return c*(t/=d)*t + b;
        },
        easeOut: function(t,b,c,d){
            return -c *(t/=d)*(t-2) + b;
        },
        easeInOut: function(t,b,c,d){
            if ((t/=d/2) < 1) return c/2*t*t + b;
            return -c/2 * ((--t)*(t-2) - 1) + b;
        }
    },
    Cubic: {
        easeIn: function(t,b,c,d){
            return c*(t/=d)*t*t + b;
        },
        easeOut: function(t,b,c,d){
            return c*((t=t/d-1)*t*t + 1) + b;
        },
        easeInOut: function(t,b,c,d){
            if ((t/=d/2) < 1) return c/2*t*t*t + b;
            return c/2*((t-=2)*t*t + 2) + b;
        }
    },
    Quart: {
        easeIn: function(t,b,c,d){
            return c*(t/=d)*t*t*t + b;
        },
        easeOut: function(t,b,c,d){
            return -c * ((t=t/d-1)*t*t*t - 1) + b;
        },
        easeInOut: function(t,b,c,d){
            if ((t/=d/2) < 1) return c/2*t*t*t*t + b;
            return -c/2 * ((t-=2)*t*t*t - 2) + b;
        }
    },
    Quint: {
        easeIn: function(t,b,c,d){
            return c*(t/=d)*t*t*t*t + b;
        },
        easeOut: function(t,b,c,d){
            return c*((t=t/d-1)*t*t*t*t + 1) + b;
        },
        easeInOut: function(t,b,c,d){
            if ((t/=d/2) < 1) return c/2*t*t*t*t*t + b;
            return c/2*((t-=2)*t*t*t*t + 2) + b;
        }
    },
    Sine: {
        easeIn: function(t,b,c,d){
            return -c * Math.cos(t/d * (Math.PI/2)) + c + b;
        },
        easeOut: function(t,b,c,d){
            return c * Math.sin(t/d * (Math.PI/2)) + b;
        },
        easeInOut: function(t,b,c,d){
            return -c/2 * (Math.cos(Math.PI*t/d) - 1) + b;
        }
    },
    Expo: {
        easeIn: function(t,b,c,d){
            return (t==0) ? b : c * Math.pow(2, 10 * (t/d - 1)) + b;
        },
        easeOut: function(t,b,c,d){
            return (t==d) ? b+c : c * (-Math.pow(2, -10 * t/d) + 1) + b;
        },
        easeInOut: function(t,b,c,d){
            if (t==0) return b;
            if (t==d) return b+c;
            if ((t/=d/2) < 1) return c/2 * Math.pow(2, 10 * (t - 1)) + b;
            return c/2 * (-Math.pow(2, -10 * --t) + 2) + b;
        }
    },
    Circ: {
        easeIn: function(t,b,c,d){
            return -c * (Math.sqrt(1 - (t/=d)*t) - 1) + b;
        },
        easeOut: function(t,b,c,d){
            return c * Math.sqrt(1 - (t=t/d-1)*t) + b;
        },
        easeInOut: function(t,b,c,d){
            if ((t/=d/2) < 1) return -c/2 * (Math.sqrt(1 - t*t) - 1) + b;
            return c/2 * (Math.sqrt(1 - (t-=2)*t) + 1) + b;
        }
    },
    Elastic: {
        easeIn: function(t,b,c,d,a,p){
            if (t==0) return b;  if ((t/=d)==1) return b+c;  if (!p) p=d*.3;
            if (!a || a < Math.abs(c)) { a=c; var s=p/4; }
            else var s = p/(2*Math.PI) * Math.asin (c/a);
            return -(a*Math.pow(2,10*(t-=1)) * Math.sin( (t*d-s)*(2*Math.PI)/p )) + b;
        },
        easeOut: function(t,b,c,d,a,p){
            if (t==0) return b;  if ((t/=d)==1) return b+c;  if (!p) p=d*.3;
            if (!a || a < Math.abs(c)) { a=c; var s=p/4; }
            else var s = p/(2*Math.PI) * Math.asin (c/a);
            return (a*Math.pow(2,-10*t) * Math.sin( (t*d-s)*(2*Math.PI)/p ) + c + b);
        },
        easeInOut: function(t,b,c,d,a,p){
            if (t==0) return b;  if ((t/=d/2)==2) return b+c;  if (!p) p=d*(.3*1.5);
            if (!a || a < Math.abs(c)) { a=c; var s=p/4; }
            else var s = p/(2*Math.PI) * Math.asin (c/a);
            if (t < 1) return -.5*(a*Math.pow(2,10*(t-=1)) * Math.sin( (t*d-s)*(2*Math.PI)/p )) + b;
            return a*Math.pow(2,-10*(t-=1)) * Math.sin( (t*d-s)*(2*Math.PI)/p )*.5 + c + b;
        }
    },
    Back: {
        easeIn: function(t,b,c,d,s){
            if (s == undefined) s = 1.70158;
            return c*(t/=d)*t*((s+1)*t - s) + b;
        },
        easeOut: function(t,b,c,d,s){
            if (s == undefined) s = 1.70158;
            return c*((t=t/d-1)*t*((s+1)*t + s) + 1) + b;
        },
        easeInOut: function(t,b,c,d,s){
            if (s == undefined) s = 1.70158;
            if ((t/=d/2) < 1) return c/2*(t*t*(((s*=(1.525))+1)*t - s)) + b;
            return c/2*((t-=2)*t*(((s*=(1.525))+1)*t + s) + 2) + b;
        }
    },
    Bounce: {
        easeIn: function(t,b,c,d){
            return c - Tween.Bounce.easeOut(d-t, 0, c, d) + b;
        },
        easeOut: function(t,b,c,d){
            if ((t/=d) < (1/2.75)) {
                return c*(7.5625*t*t) + b;
            } else if (t < (2/2.75)) {
                return c*(7.5625*(t-=(1.5/2.75))*t + .75) + b;
            } else if (t < (2.5/2.75)) {
                return c*(7.5625*(t-=(2.25/2.75))*t + .9375) + b;
            } else {
                return c*(7.5625*(t-=(2.625/2.75))*t + .984375) + b;
            }
        },
        easeInOut: function(t,b,c,d){
            if (t < d/2) return Tween.Bounce.easeIn(t*2, 0, c, d) * .5 + b;
            else return Tween.Bounce.easeOut(t*2-d, 0, c, d) * .5 + c*.5 + b;
        }
    }
}


如果习惯使用JQuery,在Jquery中可以使用更方便的jquery.easing,jquery.easing下载地址:http://gsgd.co.uk/sandbox/jquery/easing/jquery.easing.1.3.js

Jquery.easing源代码:

程序代码 程序代码
/*
* jQuery Easing v1.3 - http://gsgd.co.uk/sandbox/jquery/easing/
*
* Uses the built in easing capabilities added In jQuery 1.1
* to offer multiple easing options
*
* TERMS OF USE - jQuery Easing
*
* Open source under the BSD License.
*
* Copyright © 2008 George McGinley Smith
* All rights reserved.
*
* Redistribution and use in source and binary forms, with or without modification,
* are permitted provided that the following conditions are met:
*
* Redistributions of source code must retain the above copyright notice, this list of
* conditions and the following disclaimer.
* Redistributions in binary form must reproduce the above copyright notice, this list
* of conditions and the following disclaimer in the documentation and/or other materials
* provided with the distribution.
*
* Neither the name of the author nor the names of contributors may be used to endorse
* or promote products derived from this software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY
* EXPRESS or IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF
* MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
*  COPYRIGHT OWNER or CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
*  EXEMPLARY, or CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE
*  GOODS or SERVICES; LOSS OF USE, DATA, or PROFITS; or BUSINESS INTERRUPTION) HOWEVER CAUSED
* AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, or TORT (INCLUDING
*  NEGLIGENCE or OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
* OF THE POSSIBILITY OF SUCH DAMAGE.
*
*/

// t: current time, b: begInnIng value, c: change In value, d: duration

jQuery.easing['jswing'] = jQuery.easing['swing'];

jQuery.extend( jQuery.easing,
{
    def: 'easeOutQuad',
    swing: function (x, t, b, c, d) {
        //alert(jQuery.easing.default);        return jQuery.easing[jQuery.easing.def](x, t, b, c, d);
    },
    easeInQuad: function (x, t, b, c, d) {
        return c*(t/=d)*t + b;
    },
    easeOutQuad: function (x, t, b, c, d) {
        return -c *(t/=d)*(t-2) + b;
    },
    easeInOutQuad: function (x, t, b, c, d) {
        if ((t/=d/2) < 1) return c/2*t*t + b;
        return -c/2 * ((--t)*(t-2) - 1) + b;
    },
    easeInCubic: function (x, t, b, c, d) {
        return c*(t/=d)*t*t + b;
    },
    easeOutCubic: function (x, t, b, c, d) {
        return c*((t=t/d-1)*t*t + 1) + b;
    },
    easeInOutCubic: function (x, t, b, c, d) {
        if ((t/=d/2) < 1) return c/2*t*t*t + b;
        return c/2*((t-=2)*t*t + 2) + b;
    },
    easeInQuart: function (x, t, b, c, d) {
        return c*(t/=d)*t*t*t + b;
    },
    easeOutQuart: function (x, t, b, c, d) {
        return -c * ((t=t/d-1)*t*t*t - 1) + b;
    },
    easeInOutQuart: function (x, t, b, c, d) {
        if ((t/=d/2) < 1) return c/2*t*t*t*t + b;
        return -c/2 * ((t-=2)*t*t*t - 2) + b;
    },
    easeInQuint: function (x, t, b, c, d) {
        return c*(t/=d)*t*t*t*t + b;
    },
    easeOutQuint: function (x, t, b, c, d) {
        return c*((t=t/d-1)*t*t*t*t + 1) + b;
    },
    easeInOutQuint: function (x, t, b, c, d) {
        if ((t/=d/2) < 1) return c/2*t*t*t*t*t + b;
        return c/2*((t-=2)*t*t*t*t + 2) + b;
    },
    easeInSine: function (x, t, b, c, d) {
        return -c * Math.cos(t/d * (Math.PI/2)) + c + b;
    },
    easeOutSine: function (x, t, b, c, d) {
        return c * Math.sin(t/d * (Math.PI/2)) + b;
    },
    easeInOutSine: function (x, t, b, c, d) {
        return -c/2 * (Math.cos(Math.PI*t/d) - 1) + b;
    },
    easeInExpo: function (x, t, b, c, d) {
        return (t==0) ? b : c * Math.pow(2, 10 * (t/d - 1)) + b;
    },
    easeOutExpo: function (x, t, b, c, d) {
        return (t==d) ? b+c : c * (-Math.pow(2, -10 * t/d) + 1) + b;
    },
    easeInOutExpo: function (x, t, b, c, d) {
        if (t==0) return b;
        if (t==d) return b+c;
        if ((t/=d/2) < 1) return c/2 * Math.pow(2, 10 * (t - 1)) + b;
        return c/2 * (-Math.pow(2, -10 * --t) + 2) + b;
    },
    easeInCirc: function (x, t, b, c, d) {
        return -c * (Math.sqrt(1 - (t/=d)*t) - 1) + b;
    },
    easeOutCirc: function (x, t, b, c, d) {
        return c * Math.sqrt(1 - (t=t/d-1)*t) + b;
    },
    easeInOutCirc: function (x, t, b, c, d) {
        if ((t/=d/2) < 1) return -c/2 * (Math.sqrt(1 - t*t) - 1) + b;
        return c/2 * (Math.sqrt(1 - (t-=2)*t) + 1) + b;
    },
    easeInElastic: function (x, t, b, c, d) {
        var s=1.70158;var p=0;var a=c;
        if (t==0) return b;  if ((t/=d)==1) return b+c;  if (!p) p=d*.3;
        if (a < Math.abs(c)) { a=c; var s=p/4; }
        else var s = p/(2*Math.PI) * Math.asin (c/a);
        return -(a*Math.pow(2,10*(t-=1)) * Math.sin( (t*d-s)*(2*Math.PI)/p )) + b;
    },
    easeOutElastic: function (x, t, b, c, d) {
        var s=1.70158;var p=0;var a=c;
        if (t==0) return b;  if ((t/=d)==1) return b+c;  if (!p) p=d*.3;
        if (a < Math.abs(c)) { a=c; var s=p/4; }
        else var s = p/(2*Math.PI) * Math.asin (c/a);
        return a*Math.pow(2,-10*t) * Math.sin( (t*d-s)*(2*Math.PI)/p ) + c + b;
    },
    easeInOutElastic: function (x, t, b, c, d) {
        var s=1.70158;var p=0;var a=c;
        if (t==0) return b;  if ((t/=d/2)==2) return b+c;  if (!p) p=d*(.3*1.5);
        if (a < Math.abs(c)) { a=c; var s=p/4; }
        else var s = p/(2*Math.PI) * Math.asin (c/a);
        if (t < 1) return -.5*(a*Math.pow(2,10*(t-=1)) * Math.sin( (t*d-s)*(2*Math.PI)/p )) + b;
        return a*Math.pow(2,-10*(t-=1)) * Math.sin( (t*d-s)*(2*Math.PI)/p )*.5 + c + b;
    },
    easeInBack: function (x, t, b, c, d, s) {
        if (s == undefined) s = 1.70158;
        return c*(t/=d)*t*((s+1)*t - s) + b;
    },
    easeOutBack: function (x, t, b, c, d, s) {
        if (s == undefined) s = 1.70158;
        return c*((t=t/d-1)*t*((s+1)*t + s) + 1) + b;
    },
    easeInOutBack: function (x, t, b, c, d, s) {
        if (s == undefined) s = 1.70158;
        if ((t/=d/2) < 1) return c/2*(t*t*(((s*=(1.525))+1)*t - s)) + b;
        return c/2*((t-=2)*t*(((s*=(1.525))+1)*t + s) + 2) + b;
    },
    easeInBounce: function (x, t, b, c, d) {
        return c - jQuery.easing.easeOutBounce (x, d-t, 0, c, d) + b;
    },
    easeOutBounce: function (x, t, b, c, d) {
        if ((t/=d) < (1/2.75)) {
            return c*(7.5625*t*t) + b;
        } else if (t < (2/2.75)) {
            return c*(7.5625*(t-=(1.5/2.75))*t + .75) + b;
        } else if (t < (2.5/2.75)) {
            return c*(7.5625*(t-=(2.25/2.75))*t + .9375) + b;
        } else {
            return c*(7.5625*(t-=(2.625/2.75))*t + .984375) + b;
        }
    },
    easeInOutBounce: function (x, t, b, c, d) {
        if (t < d/2) return jQuery.easing.easeInBounce (x, t*2, 0, c, d) * .5 + b;
        return jQuery.easing.easeOutBounce (x, t*2-d, 0, c, d) * .5 + c*.5 + b;
    }
});

/*
*
* TERMS OF USE - EASING EQUATIONS
*
* Open source under the BSD License.
*
* Copyright © 2001 Robert Penner
* All rights reserved.
*
* Redistribution and use in source and binary forms, with or without modification,
* are permitted provided that the following conditions are met:
*
* Redistributions of source code must retain the above copyright notice, this list of
* conditions and the following disclaimer.
* Redistributions in binary form must reproduce the above copyright notice, this list
* of conditions and the following disclaimer in the documentation and/or other materials
* provided with the distribution.
*
* Neither the name of the author nor the names of contributors may be used to endorse
* or promote products derived from this software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY
* EXPRESS or IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF
* MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
*  COPYRIGHT OWNER or CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
*  EXEMPLARY, or CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE
*  GOODS or SERVICES; LOSS OF USE, DATA, or PROFITS; or BUSINESS INTERRUPTION) HOWEVER CAUSED
* AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, or TORT (INCLUDING
*  NEGLIGENCE or OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
* OF THE POSSIBILITY OF SUCH DAMAGE.
*
*/


使用方法:
程序代码 程序代码
$("p").animate({
   opacity: 'show'
}, { duration: "slow", easing: "easein" });


示例代码: 在页面中查看demo
HTML代码


[Ctrl+A 全部选择 提示:你可先修改部分代码,再按运行]
[本日志由 admin 于 2010-01-08 05:15 PM 编辑]
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Tags: javascript 动画 缓动 jquery easing
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回复回复cssfan.cn[2010-01-15 11:12 AM | del]
很好的文章 ,学习了
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